Chapter 9, Problem 9.74P

Treatment of $cis\text{-4-bromocyclohexanol}$ with ${\text{HO}}^{-}$ affords compound A and $\text{cyclohex-3-en-1-ol}$. Treatment of $trans\text{-4-bromocyclohexanol}$ under the same conditions forms compound B and $\text{cyclohex-3-en-1-ol}$. A and B contain different functional groups and are not isomers of each other. Propose structures for A and B and offer an explanation for their formation.